Seller: Zoom Books East, Glendale Heights, IL, U.S.A.
Condition: good. Book is in good condition and may include underlining highlighting and minimal wear. The book can also include "From the library of" labels. May not contain miscellaneous items toys, dvds, etc. . We offer 100% money back guarantee and 24 7 customer service.
Seller: The Book Cellar, LLC, Nashua, NH, U.S.A.
hardcover. Condition: Very Good. Ex-Library copy with some moderate shelf wear. A portion of your purchase of this book will be donated to non-profit organizations.Over 1,000,000 satisfied customers since 1997! Choose expedited shipping (if available) for much faster delivery. Delivery confirmation on all US orders.
Seller: Fables Books, Goshen, IN, U.S.A.
Condition: good. Some sun-fading on the cover. A former library book with all the expected stamps, stickers and markings. Some shelf, storage or usage wear present, including small pen markings on the front cover. The binding is tight and all pages are present. No dustjacket included, as pictured. The pages appear unmarked. Pictures available upon request. Individually inspected by Shay. Thanks for supporting an independent bookseller!
Hardcover. Condition: VERY GOOD.
Condition: new.
Seller: SecondSale, Montgomery, IL, U.S.A.
Condition: Very Good. Item in very good condition! Textbooks may not include supplemental items i.e. CDs, access codes etc.
Condition: New.
Seller: Best Price, Torrance, CA, U.S.A.
Condition: New. SUPER FAST SHIPPING.
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Condition: New.
Published by New York, Springer [1988]., 1988
ISBN 10: 354096617X ISBN 13: 9783540966173
Language: English
Seller: Antiquariat Bookfarm, Löbnitz, Germany
£ 21.85
Convert currencyQuantity: 1 available
Add to basketHardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 CON 9783540966173 Sprache: Englisch Gewicht in Gramm: 1160.
Condition: new.
Seller: California Books, Miami, FL, U.S.A.
Condition: New.
£ 51.30
Convert currencyQuantity: 5 available
Add to basketPAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
Condition: As New. Unread book in perfect condition.
£ 45
Convert currencyQuantity: 1 available
Add to basketHardcover. Condition: Very Good. 2nd Edition. Type: Book N.B. Previous owners signature to inside front cover. Fading to spine.
Seller: Ria Christie Collections, Uxbridge, United Kingdom
£ 59.13
Convert currencyQuantity: Over 20 available
Add to basketCondition: New. In English.
Condition: New.
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.
£ 65.84
Convert currencyQuantity: 3 available
Add to basketHRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.
£ 59.12
Convert currencyQuantity: Over 20 available
Add to basketCondition: New.
Published by Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441931341 ISBN 13: 9781441931344
Language: English
Seller: Grand Eagle Retail, Mason, OH, U.S.A.
Paperback. Condition: new. Paperback. We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. The neighbors of a strictly 24 dimensional odd unimodular lattice can be found as follows. If a norm -4 vector v E II . corresponds to the sum 25 1 of a strictly 24 dimensional odd unimodular lattice A and a !-dimensional lattice, then there are exactly two nonn-0 vectors of ll25,1 having inner product -2 with v, and these nann 0 vectors correspond to the two even neighbors of A. The enumeration of the odd 24-dimensional lattices. Figure 17.1 shows the neighborhood graph for the Niemeier lattices, which has a node for each Niemeier lattice. If A and B are neighboring Niemeier lattices, there are three integral lattices containing A n B, namely A, B, and an odd unimodular lattice C (cf. [Kne4]). An edge is drawn between nodes A and B in Fig. 17.1 for each strictly 24-dimensional unimodular lattice arising in this way. Thus there is a one-to-one correspondence between the strictly 24-dimensional odd unimodular lattices and the edges of our neighborhood graph. The 156 lattices are shown in Table 17 .I. Figure I 7. I also shows the corresponding graphs for dimensions 8 and 16. We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Condition: As New. Unread book in perfect condition.
Seller: Best Price, Torrance, CA, U.S.A.
Condition: New. SUPER FAST SHIPPING.
£ 65.83
Convert currencyQuantity: 2 available
Add to basketCondition: New.
Published by Springer-Verlag New York Inc., 2010
ISBN 10: 1441931341 ISBN 13: 9781441931344
Language: English
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
£ 63.31
Convert currencyQuantity: 5 available
Add to basketPaperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. 1109.
£ 66.80
Convert currencyQuantity: Over 20 available
Add to basketCondition: As New. Unread book in perfect condition.
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Condition: New.
Published by Springer-Verlag New York Inc., New York, NY, 1998
ISBN 10: 0387985859 ISBN 13: 9780387985855
Language: English
Seller: Grand Eagle Retail, Mason, OH, U.S.A.
Hardcover. Condition: new. Hardcover. The third edition of this timely, definitive, and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the previous edition, the third edition describes the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analog-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. Of special interest to the third edtion is a brief report on some recent developments in the field and an updated and enlarged Supplementary Bibliography with over 800 items. The third edition of this book pursues the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Seller: Ria Christie Collections, Uxbridge, United Kingdom
£ 71.63
Convert currencyQuantity: Over 20 available
Add to basketCondition: New. In.
Condition: New. pp. 784 3rd Edition.